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Finding the Third Proportional to 1,849,724,795 and 2,672,532,901

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Solution

The third proportional to 1,849,724,795 and 2,672,532,901 is: 3,861,348,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,724,795 : 2,672,532,901 = 2,672,532,901 : x
  2. Step 2: Convert to fraction form
    1,849,724,795/2,672,532,901 = 2,672,532,901/x
  3. Step 3: Cross multiply
    1,849,724,795x = 2,672,532,901 × 2,672,532,901
  4. Step 4: Simplify right side
    1,849,724,795x = 7,142,432,106,927,475,712
  5. Step 5: Solve for x
    x = 7,142,432,106,927,475,712/1,849,724,795
  6. Step 6: Final answer
    x = 3,861,348,523.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.